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He, Xiaoming; Wang, Dabin, Multiple positive bound state solutions for fractional Schrodinger-Poisson system with critical nonlocal term, J. Geom. Anal. (To appear, 2023).
Meng Yuxi; He, Xiaoming; Feng, Zhaosheng, Normalized solutions of fractional Choquard equation with critical nonlinearity, Diff. Integ. Equt. (Accepted, 2023).
Meng Yuxi; He, Xiaoming, Normalized solutions for the Schrodinger-Poisson system with doubly critical growth, Topological Methods in Nonlinear Analysis, (Accepted, 2023).
Zhang, Xinrui; He, Xiaoming, Fractional Schr?dinger–Poisson system with critical growth and potentials vanishing at infinity, Math. Nachr., 2023, DOI: 10.1002/mana.202100094.
Lan, Jiali; He, Xiaoming; On a fractional Schrodinger-Poisson system with doubly critical growth and a steep potential well, J. Geom. Anal. Doi.org/10.1007/s12220-023-01238-5, 2023.
He, Xiaoming; Zhao, Xin; Zou, Wenming; The Benci–Cerami problem for the fractional Choquard equation with critical exponent. Manuscripta Math. 170 (2023), no. 1-2, 193–242.
Meng, Yuxi; He, Xiaoming; Multiplicity of concentrating solutions for Choquard equation with critical growth. J. Geom. Anal. 33 (2023), no. 3, Paper No. 78, 29 pp.
Zhang, Xinrui; Meng, Yuxi; He, Xiaoming Analysis of a low linear perturbed Choquard equation with critical growth. J. Fixed Point Theory Appl. 25 (2023), no. 1, Paper No. 3, 13 pp.
Qu, Siqi; He, Xiaoming, Multiplicity of high energy solutions for fractional Schr?dinger-Poisson systems with critical frequency. Electron. J. Differ. Equ. 2022, Paper No. 47, 21 p. (2022).
Dou, Xilin; He, Xiaoming, Ground states for critical fractional Schr?dinger-Poisson systems with vanishing potentials. Math. Methods Appl. Sci. 45 (2022), no. 16, 9089–9110.
He, Xiaoming; R?dulescu, Vicen?iu D.; Zou, Wenming, Normalized ground states for the critical fractional Choquard equation with a local perturbation. J. Geom. Anal. 32, No. 10, Paper No. 252, 51 p. (2022).
Li, Na; He, Xiao-ming, Positive solutions for a class of fractional p-Laplacian equation with critical Sobolev exponent and decaying potentials. Acta Math. Appl. Sin., Engl. Ser. 38, No. 2, 463-483 (2022).
Qu, Siqi; He, Xiaoming, On the number of concentrating solutions of a fractional Schr?dinger-Poisson system with doubly critical growth. Anal. Math. Phys. 12, No. 2, Paper No. 59, 49 p. (2022).
He, Xiaoming, Positive solutions for fractional Schr?dinger-Poisson systems with doubly critical exponents. Appl. Math. Lett. 120, Article ID 107190, 8 p. (2021).
Meng, Yuxi; Zhang, Xingrui; He, Xiaoming, Least energy sign-changing solutions for a class of fractional Kirchhoff-Poisson system. J. Math. Phys. 62, No. 9, 091508, 21 p. (2021).
Meng, Yuxi; Zhang, Xinrui; He, Xiaoming, Ground state solutions for a class of fractional Schr?dinger-Poisson system with critical growth and vanishing potentials. Adv. Nonlinear Anal. 10, 1328-1355 (2021).
He, Xiaoming; R?dulescu, Vicen?iu D., Small linear perturbations of fractional Choquard equations with critical exponent. J. Differ. Equations 282, 481-540 (2021).
He, Xiaoming; Zhao, Xin; Zou, Wenming, Maximum principles for a fully nonlinear nonlocal equation on unbounded domains. Commun. Pure Appl. Anal. 19, No. 9, 4387-4399 (2020).
He, Xiaoming; Zou, Wenming, Bifurcation and multiplicity of positive solutions for nonhomogeneous fractional Schr?dinger equations with critical growth. Sci. China, Math. 63, No. 8, 1571-1612 (2020).
Li, Na; He, Xiaoming, Existence and multiplicity results for some Schr?dinger-Poisson system with critical growth. J. Math. Anal. Appl. 488, No. 2, Article ID 124071, 35 p. (2020).
He, Xiaoming; Zou, Wenming, Ground state solutions for a class of fractional Kirchhoff equations with critical growth. Sci. China, Math. 62, No. 5, 853-890 (2019).
Do ó., Jo?o Marcos; He, Xiaoming; Mishra, Pawan Kumar, Fractional Kirchhoff problem with critical indefinite nonlinearity. Math. Nachr. 292, No. 3, 615-632 (2019).
Lan, Fengqin; He, Xiaoming, The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 180, 236-263 (2019).
Han, Xiaotian; Ma, Xiaoyan; He, Xiaoming, Existence of sign-changing solutions for a class of p-Laplacian Kirchhoff-type equations. Complex Var. Elliptic Equ. 64, No. 2, 181-203 (2019).
He, Xiaoming; Zou, Wenming, Multiplicity of concentrating solutions for a class of fractional Kirchhoff equation. Manuscr. Math. 158, No. 1-2, 159-203 (2019).
He, Xiaoming; Zou, Wenming, Multiplicity of concentrating positive solutions for Schr?dinger-Poisson equations with critical growth. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 170, 142-170 (2018).
Guo, Qing; He, Xiaoming, Semiclassical states for weakly coupled fractional Schr?dinger systems. J. Differ. Equations 263, No. 4, 1986-2023 (2017).
Guo, Qing; He, Xiaoming, Semiclassical states for fractional Schr?dinger equations with critical growth. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 151, 164-186 (2017).
Jiao, Haitao; Ma, Xiaoyan; Guo, Qing; He, Xiaoming, Existence of least energy sign-changing solutions for a class of Schr?dinger-Poisson equation with potential vanishing at infinity. (Chinese. Acta Math. Appl. Sin. 39, No. 6, 897-916 (2016).
He, Xiaoming; Zou, Wenming, Existence and concentration result for the fractional Schr?dinger equations with critical nonlinearities. Calc. Var. Partial Differ. Equ. 55, No. 4, Paper No. 91, 39 p. (2016).
He, Xiaoming; Squassina, Marco; Zou, Wenming, The Nehari manifold for fractional systems involving critical nonlinearities. Commun. Pure Appl. Anal. 15, No. 4, 1285-1308 (2016).
Ma, Xiaoyan; He, Xiaoming, Nontrivial solutions for Kirchhoff equations with periodic potentials. Electron. J. Differ. Equ. 2016, Paper No. 102, 22 p. (2016).
Ba, Zhen; He, Xiaoming, Solutions for a class of Schr?dinger-Poisson system in bounded domains. J. Appl. Math. Comput. 51, No. 1-2, 287-297 (2016).
Guo, Qing; He, Xiaoming, Least energy solutions for a weakly coupled fractional Schr?dinger system. Nonlinear Anal., TMA, 132, 141-159 (2016).
He, Xiaoming, Multiplicity of solutions for a nonlinear Klein-Gordon-Maxwell system. Acta Appl. Math. 130, No. 1, 237-250 (2014).
He, Xiaoming; Zou, Wenming, Ground states for nonlinear Kirchhoff equations with critical growth. Ann. Mat. Pura Appl. (4) 193, No. 2, 473-500 (2014).
He, Xiaoming; Qian, Aixia; Zou, Wenming, Existence and concentration of positive solutions for quasilinear Schr?dinger equations with critical growth. Nonlinearity 26, No. 12, 3137-3168 (2013).
Liu, Wei; He, Xiaoming, Multiplicity of high energy solutions for superlinear Kirchhoff equations. J. Appl. Math. Comput. 39, No. 1-2, 473-487 (2012).
He, Xiaoming; Zou, Wenming, Existence and concentration of ground states for Schr?dinger-Poisson equations with critical growth. J. Math. Phys. 53, No. 2, 023702, 19 p. (2012).
He, Xiaoming; Zou, Wenming, Existence and concentration behavior of positive solutions for a Kirchhoff equation in R3. J. Differ. Equations 252, No. 2, 1813-1834 (2012).
He, Xiaoming, Multiplicity of positive solutions for a class of Schr?dinger-Poisson systems with critical growth. (Chinese. English summary) Sci. Sin., Math. 41, No. 7, 577-600 (2011).
He, Xiaoming, Multiplicity and concentration of positive solutions for the Schr?dinger-Poisson equations. Z. Angew. Math. Phys. 62, No. 5, 869-889 (2011).
He, Xiaoming; Zou, Wenming, Infinitely many solutions for a singular elliptic equation involving critical Sobolev-Hardy exponents in RN. Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 3, 830-840 (2010).
He, Xiao-Ming; Zou, Wen-Ming, Multiplicity of solutions for a class of Kirchhoff type problems. Acta Math. Appl. Sin., Engl. Ser. 26, No. 3, 387-394 (2010).
He, Xiaoming, Multiple radial solutions for a class of quasilinear elliptic problems. Appl. Math. Lett. 23, No. 1, 110-114 (2010).
Wang, Yuqing; He, Xiaoming, A note on a nonlinear functional differential system with feedback control. Electron. J. Qual. Theory Differ. Equ. 2009, Paper No. 13, 9 p. (2009).
He, Xiaoming; Zou, Wenming, Existence and multiplicity of solutions for an elliptic system with nonlinear boundary conditions. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 10, 4646-4656 (2009).
He, Xiaoming; Zou, Wenming, Multiplicity of solutions for a class of elliptic boundary value problems. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 2606-2613 (2009).
He, Xiaoming; Zou, Wenming, Infinitely many arbitrarily small solutions for singular elliptic problems with critical Sobolev-Hardy exponents. Proc. Edinb. Math. Soc., II. Ser. 52, No. 1, 97-108 (2009).
He, Xiaoming; Zou, Wenming, Infinitely many positive solutions for Kirchhoff-type problems. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 3, 1407-1414 (2009).
He, Xiaoming; Zou, Wenming, Multiple solutions for the Brezis-Nirenberg problem with a Hardy potential and singular coefficients. Comput. Math. Appl. 56, No. 4, 1025-1031 (2008).
He, Xiaoming; Zou, Wenming, Multiplicity of solutions for quasilinear Brezis-Nirenberg type problems involving singular weights. Int. J. Pure Appl. Math. 44, No. 4, 493-507 (2008).
He, Xiaoming; Zou, Wenming, Nontrivial solutions for some singular critical growth semilinear elliptic equations. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 12, 3719-3732 (2008).
He, Xiaoming; Zou, Wenming, Nontrivial solitary waves to the generalized Kadomtsev-Petviashvili equations. Appl. Math. Comput. 197, No. 2, 858-863 (2008).
Cao, Daomin; He, Xiaoming; Peng, Shuangjie, Positive solutions for some singular critical growth nonlinear elliptic equations. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 3, 589-609 (2005).
He, Zhimin; He, Xiaoming, Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions. Comput. Math. Appl. 48, No. 1-2, 73-84 (2004).
He, Xiaoming, Double positive solutions of a three-point boundary value problem for the one-dimensional p-Laplacian. Appl. Math. Lett. 17, No. 8, 867-873 (2004).
He, Zhimin; He, Xiaoming, Periodic boundary value problems for first order impulsive integro-differential equations of mixed type. J. Math. Anal. Appl. 296, No. 1, 8-20 (2004).
He, Xiaoming; Ge, Weigao, Twin positive solutions for the one-dimensional p-Laplacian boundary value problems. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 56, No. 7, 975-984 (2004).
He, Xiaoming; Ge, Weigao, A theorem about triple positive solutions for the one-dimensional p-Laplacian equations. (Chinese. English summary) Acta Math. Appl. Sin. 26, No. 3, 504-510 (2003).
He, Xiaoming; Ge, Weigao, Existence of positive solutions for the one-dimensional p-Laplacian equation. (Chinese. English summary) Acta Math. Sin. 46, No. 4, 805-810 (2003).
He, Xiaoming; Ge, Weigao, Positive solutions for semipositone (n,p) boundary value problems. Port. Math. (N.S.) 60, No. 3, 253-262 (2003).
He, Xiaoming; Ge, Weigao, Existence of three solutions for a quasilinear two-point boundary value problem. Comput. Math. Appl. 45, No. 4-5, 765-769 (2003).
He, Xiaoming; Ge, Weigao; Shan, Wenrui, Existence of periodic solutions for generalized Liénard-typed functional-differential equations. J. Beijing Inst. Technol., Engl. Ed. 11, No. 3, 325-328 (2002).
He, Xiaoming; Ge, Weigao, Existence of multiple positive solutions for higher-order p-Laplacian boundary value problems. J. Beijing Inst. Technol., Engl. Ed. 11, No. 2, 212-216 (2002).
He, Xiaoming; Ge, Weigao; Peng, Mingshu, Multiple positive solutions for one-dimensional p-Laplacian boundary value problems. Appl. Math. Lett. 15, No. 8, 937-943 (2002).
He, Xiaoming; Cao, Daomin; Ge, Weigao, Positive solutions for semipositone (k,n?k) boundary value problems. Indian J. Pure Appl. Math. 33, No. 9, 1361-1371 (2002).
He, Xiaoming; Ge, Weigao, First-order impulsive functional differential equations with periodic boundary value conditions. Indian J. Pure Appl. Math. 33, No. 8, 1257-1273 (2002).
He, Xiaoming; Ge, Weigao, Positive solutions for semipositone (p,n?p) right focal boundary value problems. Appl. Anal. 81, No. 2, 227-240 (2002).
He, Xiaoming; Ge, Weigao, Positive solutions and nonlinear eigenvalue problem of one-dimensional p-Laplacian FDE. Appl. Anal. 81, No. 1, 115-128 (2002).
He, Xiaoming; Ge, Weigao, Triple solutions for second-order three-point boundary value problems. J. Math. Anal. Appl. 268, No. 1, 256-265 (2002).
出版教材三部
贺小明,赵志红,张学梅,数学物理方程,中央民族大学出版社,2011年。
贺小明,彭名书,常微分方程与动力系统概论,北京理工大学出版社,2010年。
王兢, 贺小明,基础拓扑学讲义,中央民族大学出版社,2022年。